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Question


The above p-v diagram represents the thermodynamic cycle of an engine, operating with an ideal mono-atomic gas. The amount of heat, extracted from the source in a single cycle is :

A
(132)p0V0
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B
p0V0
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C
4p0V0
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D
(112)p0V0
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Solution

The correct option is A (132)p0V0
Heat is extracted from the source, means heat is given to the system (or gas) or Q is positive. This is positive only along the path ABC.

Heat supplied= QABC+WABC

=nCv(TfTi)+area under P-V graph

=n(32R)(TCTA)+2p0V0

=32(nRTCnRTA)+2p0V0

=32(pCVCpAVA)+2p0V0

=32(4p0V0p0V0)+2p0V0

=132(p0V0)

Hence, option (B) is correct.

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